From 967f4abac97ac120a281e3b530791d7bb310e590 Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Thu, 19 May 2022 15:47:53 +0200 Subject: Initial commit --- README.md | 4 + coord-cube.tex | 8 ++ coord-dod.tex | 20 +++ coord-ico.tex | 12 ++ coord-oct.tex | 6 + coord-tet.tex | 4 + coord.py | 32 +++++ cube.aux | 3 + cube.pdf | Bin 0 -> 1282 bytes cube.tex | 31 ++++ dodecahedron.aux | 3 + dodecahedron.log | 424 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ dodecahedron.pdf | Bin 0 -> 1435 bytes dodecahedron.tex | 44 ++++++ icosahedron.aux | 3 + icosahedron.log | 424 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ icosahedron.pdf | Bin 0 -> 1398 bytes icosahedron.tex | 55 ++++++++ octahedron.aux | 3 + octahedron.log | 424 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ octahedron.pdf | Bin 0 -> 1274 bytes octahedron.tex | 35 +++++ settings.ttt | 32 +++++ tetrahedron.aux | 3 + tetrahedron.log | 424 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ tetrahedron.pdf | Bin 0 -> 1245 bytes tetrahedron.tex | 23 +++ 27 files changed, 2017 insertions(+) create mode 100644 README.md create mode 100644 coord-cube.tex create mode 100644 coord-dod.tex create mode 100644 coord-ico.tex create mode 100644 coord-oct.tex create mode 100644 coord-tet.tex create mode 100755 coord.py create mode 100644 cube.aux create mode 100644 cube.pdf create mode 100644 cube.tex create mode 100644 dodecahedron.aux create mode 100644 dodecahedron.log create mode 100644 dodecahedron.pdf create mode 100644 dodecahedron.tex create mode 100644 icosahedron.aux create mode 100644 icosahedron.log create mode 100644 icosahedron.pdf create mode 100644 icosahedron.tex create mode 100644 octahedron.aux create mode 100644 octahedron.log create mode 100644 octahedron.pdf create mode 100644 octahedron.tex create mode 100644 settings.ttt create mode 100644 tetrahedron.aux create mode 100644 tetrahedron.log create mode 100644 tetrahedron.pdf create mode 100644 tetrahedron.tex diff --git a/README.md b/README.md new file mode 100644 index 0000000..25c08dc --- /dev/null +++ b/README.md @@ -0,0 +1,4 @@ +# Platonic solids in tikz + +This repository contains the Tikz (Latex) source code for drawing the5 +platonic solids. The coordinates are projected using the script `coord.py`. diff --git a/coord-cube.tex b/coord-cube.tex new file mode 100644 index 0000000..cfe5dc7 --- /dev/null +++ b/coord-cube.tex @@ -0,0 +1,8 @@ +\coordinate (P0) at (-0.5696813314905527, 0.5728160673358398); +\coordinate (P1) at (-0.5696813314905527, -1.3378569109153722); +\coordinate (P2) at (1.2943968404439, 0.7869841443124108); +\coordinate (P3) at (1.2943968404439, -1.1236888339388011); +\coordinate (P4) at (-1.2943968404439, 1.1236888339388011); +\coordinate (P5) at (-1.2943968404439, -0.7869841443124108); +\coordinate (P6) at (0.5696813314905527, 1.3378569109153722); +\coordinate (P7) at (0.5696813314905527, -0.5728160673358398); diff --git a/coord-dod.tex b/coord-dod.tex new file mode 100644 index 0000000..979df67 --- /dev/null +++ b/coord-dod.tex @@ -0,0 +1,20 @@ +\coordinate (P0) at (1.2508566957869456, 0.7603474449732492); +\coordinate (P1) at (1.2508566957869456, -1.1503255332779627); +\coordinate (P2) at (0.6598162824642664, 1.3249899183682845); +\coordinate (P3) at (0.6598162824642664, -0.5856830598829275); +\coordinate (P4) at (-0.6598162824642664, 0.5856830598829275); +\coordinate (P5) at (-0.6598162824642664, -1.3249899183682845); +\coordinate (P6) at (-1.2508566957869456, 1.1503255332779627); +\coordinate (P7) at (-1.2508566957869456, -0.7603474449732492); +\coordinate (P8) at (0.18264153207910092, 1.3712827900732547); +\coordinate (P9) at (0.18264153207910092, -1.7202510301231948); +\coordinate (P10) at (-0.18264153207910092, 1.7202510301231948); +\coordinate (P11) at (-0.18264153207910092, -1.3712827900732547); +\coordinate (P12) at (1.0685921597130592, -0.40283109341752804); +\coordinate (P13) at (0.11226868223217829, 0.5107796200274473); +\coordinate (P14) at (-0.11226868223217829, -0.5107796200274473); +\coordinate (P15) at (-1.0685921597130592, 0.40283109341752804); +\coordinate (P16) at (1.5457669100982248, 0.7317368768227392); +\coordinate (P17) at (-1.5457669100982248, 0.44912396512249836); +\coordinate (P18) at (1.5457669100982248, -0.44912396512249836); +\coordinate (P19) at (-1.5457669100982248, -0.7317368768227392); diff --git a/coord-ico.tex b/coord-ico.tex new file mode 100644 index 0000000..a044e9f --- /dev/null +++ b/coord-ico.tex @@ -0,0 +1,12 @@ +\coordinate (P0) at (0.19866933079506122, 1.3910718630305983); +\coordinate (P1) at (0.19866933079506122, -1.7804902053392486); +\coordinate (P2) at (-0.19866933079506122, 1.7804902053392486); +\coordinate (P3) at (-0.19866933079506122, -1.3910718630305983); +\coordinate (P4) at (1.301520307589847, -0.27557655385046137); +\coordinate (P5) at (0.6586128480926363, 0.35451555984757627); +\coordinate (P6) at (-0.6586128480926363, -0.35451555984757627); +\coordinate (P7) at (-1.301520307589847, 0.27557655385046137); +\coordinate (P8) at (1.5857810341849234, 1.0439295752119735); +\coordinate (P9) at (-1.5857810341849234, 0.9162035804705098); +\coordinate (P10) at (1.5857810341849234, -0.9162035804705098); +\coordinate (P11) at (-1.5857810341849234, -1.0439295752119735); diff --git a/coord-oct.tex b/coord-oct.tex new file mode 100644 index 0000000..14fa90c --- /dev/null +++ b/coord-oct.tex @@ -0,0 +1,6 @@ +\coordinate (P0) at (-0.27516333805159693, -0.21095489306059886); +\coordinate (P1) at (0.27516333805159693, 0.21095489306059886); +\coordinate (P2) at (-0.9613974918795568, 0.06037778654840108); +\coordinate (P3) at (0.9613974918795568, -0.06037778654840108); +\coordinate (P4) at (-0.0, -0.9756293127952373); +\coordinate (P5) at (-0.0, 0.9756293127952373); diff --git a/coord-tet.tex b/coord-tet.tex new file mode 100644 index 0000000..cb3a1ca --- /dev/null +++ b/coord-tet.tex @@ -0,0 +1,4 @@ +\coordinate (P0) at (-1.1042758977624227, 1.3096936302264104); +\coordinate (P1) at (0.8835014100843277, -0.3031514993551603); +\coordinate (P2) at (-0.8835014100843277, -1.4214862452202075); +\coordinate (P3) at (1.1042758977624227, 0.41494411434895745); diff --git a/coord.py b/coord.py new file mode 100755 index 0000000..6fe33f9 --- /dev/null +++ b/coord.py @@ -0,0 +1,32 @@ +#!/usr/bin/python + +from math import sqrt, sin, cos + +phi = (1.0+sqrt(5.0))/2.0 + +def projcoord(P, alpha, beta): + x, y, z = P + xnew = x*cos(alpha) + y*sin(alpha) + ynew = x*sin(alpha)*sin(beta) - y*cos(alpha)*sin(beta) + z*cos(beta) + return xnew, ynew + +def printtikz(shape, alpha, beta): + for i in range(len(shape)): + x, y = projcoord(shape[i], alpha, beta) + print("\coordinate (P" + str(i) + ") at (" + str(x) + ", " + str(y) + ");") + +tetrahedron = [(1,1,1), (1,-1,-1), (-1,1,-1), (-1,-1,1)] + +octahedron = [(1,0,0), (-1,0,0), (0,1,0), (0,-1,0), (0,0,1), (0,0,-1)] + +cube = [(1,1,1), (1,1,-1), (1,-1,1), (1,-1,-1), (-1,1,1), (-1,1,-1), (-1,-1,1), (-1,-1,-1)] + +dodecahedron = cube + [(0,1/phi,phi), (0,1/phi,-phi), (0,-1/phi,phi), (0,-1/phi,-phi), + (1/phi,phi,0), (1/phi,-phi,0), (-1/phi,phi,0), (-1/phi,-phi,0), + (phi,0,1/phi), (-phi,0,1/phi), (phi,0,-1/phi), (-phi,0,-1/phi)] + +icosahedron = [(0,1,phi), (0,1,-phi), (0,-1,phi), (0,-1,-phi), + (1,phi,0), (1,-phi,0), (-1,phi,0), (-1,-phi,0), + (phi,0,1), (-phi,0,1), (phi,0,-1), (-phi,0,-1)] + +printtikz(icosahedron, 0.2, 0.2) diff --git a/cube.aux b/cube.aux new file mode 100644 index 0000000..48a70f3 --- /dev/null +++ b/cube.aux @@ -0,0 +1,3 @@ +\relax +\@gobbletwo \sa@multi@setnumpages {1} +\gdef \@abspage@last{1} diff --git a/cube.pdf b/cube.pdf new file mode 100644 index 0000000..883f85e Binary files /dev/null and b/cube.pdf differ diff --git a/cube.tex b/cube.tex new file mode 100644 index 0000000..f4d8427 --- /dev/null +++ b/cube.tex @@ -0,0 +1,31 @@ +\input{settings.ttt} + +\begin{document} +\begin{tikzpicture}[scale=2, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm] + +\input{coord-cube.tex} + +% Background varying in size depending on the main figure +\fill[color=white] (-2,-2) rectangle (2,2); + +\filldraw[very thick, draw=my-color-draw-main, + fill=my-color-fill-main, fill opacity = 0.7] + (P0) -- (P1) -- (P3) -- (P2) -- cycle; + +\filldraw[very thick, draw=my-color-draw-main, + fill=my-color-fill-main, fill opacity = 0.3] + (P0) -- (P1) -- (P5) -- (P4) -- cycle; + +\filldraw[very thick, draw=my-color-draw-main, + fill=my-color-fill-main, fill opacity = 0.5] + (P0) -- (P2) -- (P6) -- (P4) -- cycle; + + +\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P6); +\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P5); +\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P3); + + +\end{tikzpicture} +\end{document} + diff --git a/dodecahedron.aux b/dodecahedron.aux new file mode 100644 index 0000000..48a70f3 --- /dev/null +++ b/dodecahedron.aux @@ -0,0 +1,3 @@ +\relax +\@gobbletwo \sa@multi@setnumpages {1} +\gdef \@abspage@last{1} diff --git a/dodecahedron.log b/dodecahedron.log new file mode 100644 index 0000000..dc83335 --- /dev/null +++ b/dodecahedron.log @@ -0,0 +1,424 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/VoidLinux) (preloaded format=pdflatex 2022.4.21) 19 MAY 2022 15:43 +entering extended mode + \write18 enabled. + %&-line parsing enabled. +**\expandafter\def\csname sa@internal@run\endcsname{1}\input{dodecahedron} + (./dodecahedron.tex (./settings.ttt +(/usr/share/texmf-dist/tex/latex/standalone/standalone.cls +Document Class: standalone 2018/03/26 v1.3a Class to compile TeX sub-files stan +dalone +(/usr/share/texmf-dist/tex/latex/tools/shellesc.sty +Package: shellesc 2019/11/08 v1.0c unified shell escape interface for LaTeX +Package shellesc Info: Unrestricted shell escape enabled on input line 75. +) +(/usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty +Package: ifluatex 2019/10/25 v1.5 ifluatex legacy package. 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